We appreciate your visit to For a planar four bar linkage the sum of the shortest and longest lengths cannot be greater than the sum of the remaining two link. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
The statement in the question describes an important concept related to planar four-bar linkages in mechanical engineering. In such linkages, there are four links connected in a closed loop system. The links are typically referred to as the crank, coupler, follower, and ground.
This specific statement refers to Grashof's Law, which provides a criterion to determine the relative motion of the links in a four-bar mechanism based on their lengths. According to Grashof's Law, for at least one link to make a full rotation relative to the other links, the sum of the lengths of the shortest link (s) and the longest link (l) must not be greater than the sum of the remaining two links (p and q). Mathematically, this is expressed as:
[tex]s + l \leq p + q[/tex]
Based on this law, different types of mechanisms can be distinguished:
Drag-link mechanism (also known as Double-crank mechanism): This occurs when the inequality holds true, and typically, all links can rotate fully. However, the question particularly focuses on the situation where there is a continuous relative rotation between two specific members.
Crank-rocker mechanism: Under Grashof's condition, one link (the shortest) can make a complete rotation while the opposite link is fixed, causing another link to rock back and forth instead of rotating completely. This matches the statement in the question most accurately.
Double-rocker mechanism: This occurs when the inequality does not hold, and no link is able to make a complete rotation. Instead, two links exhibit rocking motion.
Triple-rocker mechanism: This is a less common term and is generally synonymous with the double-rocker mechanism as typically defined in academic circles.
Given these definitions, the correct answer to the question is:
(B) Crank-rocker mechanism.
This mechanism allows for continuous relative rotation (full rotation) of one member while another member rocks back and forth, satisfying the outlined Grashof condition.
Thanks for taking the time to read For a planar four bar linkage the sum of the shortest and longest lengths cannot be greater than the sum of the remaining two link. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
